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Finding the Fourth Proportional to 13,406.61, 20,083.05 and 6,393.42

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Solution

The fourth proportional to 13,406.61, 20,083.05 and 6,393.42 is: 9,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.61 : 20,083.05 = 6,393.42 : x
  2. Step 2: Convert to fraction form
    13,406.61/20,083.05 = 6,393.42/x
  3. Step 3: Cross multiply
    13,406.61x = 20,083.05 × 6,393.42
  4. Step 4: Simplify right side
    13,406.61x = 128,399,373.53
  5. Step 5: Solve for x
    x = 128,399,373.53/13,406.61
  6. Step 6: Final answer
    x = 9,577.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.